Sasha has two pieces of cord, one 12 feet long and the other 16 feet long. She wants to cut them up to produce many pieces of cord that are all of the same length, with no cord left over. What is the greatest length, in feet, that she can make them

4 feet.

Step-by-step explanation:

Given:

Sasha has two pieces of cord.

One 12 feet long and the other 16 feet long.

She wants to cut them up to produce many pieces of cord that are all of the same length, with no cord left over.

Question asked:

What is the greatest length, in feet, that she can make them?

Solution:

To find the greatest length of cut piece of the cord with no cord left over, w will simply calculate Highest Common factor of 12 and 16.

12: - 2, 3, 4, 6, 12

16: - 2, 4, 8, 16

Highest Common factor of 12 and 16 is 4 feet

Therefore, she can make cut pieces of 4 feet each at greatest.